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Finding the Third Proportional to 442,887.75 and 969,940.13

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Solution

The third proportional to 442,887.75 and 969,940.13 is: 2,124,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,887.75 : 969,940.13 = 969,940.13 : x
  2. Step 2: Convert to fraction form
    442,887.75/969,940.13 = 969,940.13/x
  3. Step 3: Cross multiply
    442,887.75x = 969,940.13 × 969,940.13
  4. Step 4: Simplify right side
    442,887.75x = 940,783,846,085.02
  5. Step 5: Solve for x
    x = 940,783,846,085.02/442,887.75
  6. Step 6: Final answer
    x = 2,124,203.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.